NO! Your marriage will not say online. All marriage licenses are issued directly from the courts, both couples will receive a hard copy court seal marriage license and will be recognized in all 50 U.S States. For international couples and Non U.S citizens can request a apostille hard copy marriage license from their wedding court officiant if applicable!
NOTE: Please Google research what is apostille for couples that would like to know more information and understanding for the purpose of apostille licenses.